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Finding the Third Proportional to 55,096 and 120,572

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Solution

The third proportional to 55,096 and 120,572 is: 263,859.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,096 : 120,572 = 120,572 : x
  2. Step 2: Convert to fraction form
    55,096/120,572 = 120,572/x
  3. Step 3: Cross multiply
    55,096x = 120,572 × 120,572
  4. Step 4: Simplify right side
    55,096x = 14,537,607,184
  5. Step 5: Solve for x
    x = 14,537,607,184/55,096
  6. Step 6: Final answer
    x = 263,859.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.